Answer:
A. 0.289g/mL
Explanation:
Using the equation for density which is d = m/v or density = mass/volume, we input 1.3g/4.5mL and get 0.289g/mL.
Answer:
the work done by the 30N force is 4156.92 J.
For this problem, they don´t ask you to determine the work of the total force applied in the block. They only want the work done for the force of 30N, with an angle of 30º respectively of the displacement and a traveled distance of 160m. So:
W=F·s·cos(α)=30N·160m·cos(30º)=4156.92J
<h2>Given that,</h2>
Mass of two bumper cars, m₁ = m₂ = 125 kg
Initial speed of car X is, u₁ = 10 m/s
Initial speed of car Z is, u₂ = -12 m/s
Final speed of car Z, v₂ = 10 m/s
We need to find the final speed of car X after the collision. Let v₁ is its final speed. Using the conservation of momentum to find it as follows :
![m_1u_1+m_2u_2=m_1v_1+m_2v_2](https://tex.z-dn.net/?f=m_1u_1%2Bm_2u_2%3Dm_1v_1%2Bm_2v_2)
v₁ is the final speed of car X.
![m_1u_1+m_2u_2-m_1v_1=m_2v_2\\\\m_2v_2=m_1u_1+m_2u_2-m_2v_2\\\\m_1v_1=125\times 10+125\times (-12)-125\times 10\\\\v_1=\dfrac{-1500}{125}\\\\v_1=-12\ m/s](https://tex.z-dn.net/?f=m_1u_1%2Bm_2u_2-m_1v_1%3Dm_2v_2%5C%5C%5C%5Cm_2v_2%3Dm_1u_1%2Bm_2u_2-m_2v_2%5C%5C%5C%5Cm_1v_1%3D125%5Ctimes%2010%2B125%5Ctimes%20%28-12%29-125%5Ctimes%2010%5C%5C%5C%5Cv_1%3D%5Cdfrac%7B-1500%7D%7B125%7D%5C%5C%5C%5Cv_1%3D-12%5C%20m%2Fs)
So, car X will move with a velocity of -12 m/s.
Answer:
B. The truck and mosquito exert the same size force on each other.
Explanation:
Newton's third law (law of action-reaction) states that
"When an object A exerts a force (action) on an object B, then object B exerts an equal and opposite force (reaction) on object A"
In this case, we can call
object A = the truck
object B = the mosquito
Thereforce according to Newton's third law, the force exerted by the truck on the mosquito is equal in magnitude to the force exerted by the mosquito on the truck (and in opposite direction).
The reason for which the mosquito will experience much more damage is the fact that the mosquito's mass is much smaller than the truck's mass, and since the acceleration is inversely proportional to the mass:
![a=\frac{F}{m}](https://tex.z-dn.net/?f=a%3D%5Cfrac%7BF%7D%7Bm%7D)
the mosquito will experience a much larger deceleration than the truck, therefore much more damage.
Tranquilizers
Because they are meant to put you at ease which may cause drowsiness and mental clouding